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Concentrations of Credit Risk - Additional Information (Detail)
12 Months Ended
Sep. 30, 2024
USD ($)
Vendor
Sep. 30, 2023
USD ($)
Sep. 30, 2022
Concentration Risk [Line Items]      
Restricted cash $ 3,009,000 $ 3,132,000  
Outstanding letters of credit to be collateralized by amounts on deposit 3,000,000 3,100,000  
Allowance for doubtful accounts $ 0 $ 0  
Number of vendors represents more than ten percentage of purchases | Vendor 2    
AAR {Member]      
Concentration Risk [Line Items]      
Percentage of purchases during year 18.00%    
Standard Aero Holdings, Inc. [Member]      
Concentration Risk [Line Items]      
Percentage of purchases during year 11.00%    
Sales Revenue, Net [Member] | American Airlines Inc. [Member] | Customer Concentration Risk [Member]      
Concentration Risk [Line Items]      
Concentration risk, percentage 0.00% 23.00% 45.00%
Sales Revenue, Net [Member] | United [Member] | Customer Concentration Risk [Member]      
Concentration Risk [Line Items]      
Concentration risk, percentage 97.00% 73.00% 48.00%